Show the Proof

import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof

	step type	requirements	statement
0	instantiation	1, 2, 3	⊢
	: , : , :
1	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	6, 4	⊢
	: , : , :
3	instantiation	17, 5	⊢
	:
4	instantiation	6, 7	⊢
	: , : , :
5	instantiation	8, 9, 18	⊢
	: , :
6	axiom		⊢
	proveit.logic.equality.substitution
7	instantiation	10, 11, 23, 12, 13*	⊢
	: , :
8	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
9	instantiation	40, 28, 14	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.division.div_as_mult
11	instantiation	40, 28, 35	⊢
	: , : , :
12	instantiation	15, 16	⊢
	: , :
13	instantiation	17, 18	⊢
	:
14	instantiation	40, 36, 19	⊢
	: , : , :
15	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
16	instantiation	20, 32, 27, 21	⊢
	: , :
17	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
18	instantiation	22, 23, 24	⊢
	: , :
19	instantiation	40, 38, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
21	instantiation	26, 32, 35, 33	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
23	instantiation	40, 28, 27	⊢
	: , : , :
24	instantiation	40, 28, 29	⊢
	: , : , :
25	instantiation	40, 41, 30	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
27	instantiation	31, 32, 35, 33	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
29	instantiation	34, 35	⊢
	:
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
33	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
34	theorem		⊢
	proveit.numbers.negation.real_closure
35	instantiation	40, 36, 37	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
37	instantiation	40, 38, 39	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
39	instantiation	40, 41, 42	⊢
	: , : , :
40	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
41	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements